Question

How do you determine whether each equation is a linear equation: `y=2-3x`?

Answer 1

A linear equation has "an x-term, a y-term and a number term"

Explanation:

A linear equation has "an x-term, a y-term and a number term"

(Not `1/x` nor `1/y`)

Any one of these terms can be equal to 0, so as long as at least 2 of the 3 terms are present in an equation, it represents a straight line.

All of the following are equations of straight lines:

`3x+5y = 10`

`y = 2/3x-5`

`3x -4y +2 =0`

`x=y`

`x = 8`

`y = -3`

`3x = 5y`

Answer 2

Basically, if you can manipulate it to give the generic form of:
`y=mx+c` where `m` and `c` are constants then it is a linear equation.

Linear `->` straight line graph.